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Finding the Fourth Proportional to 787.49, 1,180.47 and 376.52

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Solution

The fourth proportional to 787.49, 1,180.47 and 376.52 is: 564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.49 : 1,180.47 = 376.52 : x
  2. Step 2: Convert to fraction form
    787.49/1,180.47 = 376.52/x
  3. Step 3: Cross multiply
    787.49x = 1,180.47 × 376.52
  4. Step 4: Simplify right side
    787.49x = 444,470.56
  5. Step 5: Solve for x
    x = 444,470.56/787.49
  6. Step 6: Final answer
    x = 564.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.